Question

when a cricket chirps 40 times in one minute, the temperature is about 50°f. when a cricket chirps 80 times in one minute, the temperature is about 60°f. the temperature in degrees fahrenheit, y, is a linear function of the number of chirps, x. which two points are on the graph of the function? (40, 50) and (80, 60) how much does the temperature change each time the number of chirps increases? find the rate of change. rate of change:

Explanation:

Step1: Recall rate of change formula

The rate of change (slope) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \(\frac{y_2 - y_1}{x_2 - x_1}\).

Step2: Identify the points

We have the points \((40, 50)\) and \((80, 60)\), so \(x_1 = 40\), \(y_1 = 50\), \(x_2 = 80\), \(y_2 = 60\).

Step3: Calculate the rate of change

Substitute into the formula: \(\frac{60 - 50}{80 - 40}=\frac{10}{40}=\frac{1}{4} = 0.25\).

Answer:

\(0.25\) (or \(\frac{1}{4}\))